La suma geométrica Definición Demostración Suma de potencias

This formula is used to find the sum of the first n+1 terms of a geometric progression. This formula will be proven using mathematical induction. #mathematicalinduction #summation Proof of the geometric sum 1+x+x^2+x^3+...+x^n=\sum_{k=0}^{n}x^k=\frac{1-x^{n+1}}{1-x} for x≠1. For more videos, subscribe to:    / @mate_a   Follow me on:   / mate-a-280220872612223   To support me, subscribe to my channel and like this video. Thank you. This video was created using iPad Pro and Goodnotes. It consists of a sequence of elements in which each element is obtained by multiplying the previous one by a constant called the common ratio or factor of the progression. The term progression is usually reserved for sequences with a finite number of terms, while sequence is used for sequences with an infinite number of terms, although this distinction is not strict.